Magnetic form factor, field map and field distribution for a BCS type-II superconductor near its Bc2(T) phase boundary

TL;DR

This paper reviews the magnetic form factor and field distribution in a BCS type-II superconductor near its Bc2 phase boundary, providing numerical insights useful for experimental data analysis.

Contribution

It offers a detailed numerical study of the form factor, field map, and distribution near the Bc2 boundary, highlighting the transition from BCS to Ginzburg-Landau vortex lattices.

Findings

Exotic shape of the field distribution at low temperature.

Form factor dependence on external magnetic field.

Transition characteristics between BCS and Ginzburg-Landau vortex states.

Abstract

We review the magnetic form factor deduced by Delrieu from the Gorkov's equation for a Bardeen-Cooper-Schrieffer (BCS) type-II superconductor near its Bc2 phase boundary, i.e. when its magnetization is small. A numerical study of the form factor, field map, and field distribution follows. The characteristics of the transition from the low-temperature BCS to the high-temperature Ginzburg-Landau vortex lattices is studied. The exotic shape of the component field distribution and the form factor at low temperature and as a function of the external field intensity are discussed. Our numerical work should be helpful for the analysing of small angle neutron scattering and muon spin rotation vortex-lattice data recorded for BCS superconductors and maybe other superconductors in the clean limit.